Vibration Behavior of Rotating Shaft due to Contact with Casing.

Watanabe, Yusuke; Shiraki, Kazuhiro; Awa, Keizo

doi:10.1299/kikaic.67.591

Cited by 5 publications

(3 citation statements)

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“…In Japan, Sawaragi (86) studied a backward whirl in 1951. Watanabe et al (87) investigated the effects of various parameters and Wada and Ishihara (88) studied effects of guide material (or friction).…”

Section: Rubbing (Self-excited Vibrations)mentioning

confidence: 99%

Review of Research on Nonlinear Rotordynamics in Japan

Ishida

2013

JSDD

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This article introduces research on nonlinear rotordynamics in Japan. In most cases, the nonlinearity treated there was weak and it was approximated by a power series of low order. Firstly, the research on various nonlinear resonances due to the weak nonlinearity is introduced. Next, those on more complicated nonlinear phenomena, such as entrainment, internal resonances, chaotic vibrations, nonstationary vibrations, and more complicated systems, such as cracked rotors and continuous rotors, are explained. Then, research on phenomena due to strong nonlinearity is introduced. Various vibration suppression methods where the nonlinearity plays an important role are also explained. Finally, studies on the models representing helicopters and wind turbines are explained.

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Section: Rubbing (Self-excited Vibrations)mentioning

confidence: 99%

Review of Research on Nonlinear Rotordynamics in Japan

Ishida

2013

JSDD

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“…5 and 5 8 are the velocities before and after the collision, respectively, where 5 8 2 67 e5 (Li and Païdoussis, 19941 Ishida et al, 1998). Because the collision period is instantaneous in this model, calculation of the normal contact force is basically impossible, making modelling of the friction force between the rotating shaft and the backup bearing difficult (Watanabe et al, 2001). In this article, the collision is considered to be a contact lasting for a finite time period, and is modeled using a contact spring k c and a contact damper c c , as shown in Figure 2(b).…”

Section: Collision Model For the Rotating Shaft And Backup Bearingmentioning

confidence: 99%

Vibration Characteristics of a Rotor System in Contact with a Backup Bearing: Cases with Various Failure Patterns of the Active Magnetic Bearing

Ishida

Inoue

2008

Journal of Vibration and Control

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When electric power for an active magnetic bearing (AMB) is shut down during operation, the backup bearing plays an important role in stopping the rotor system safely. Recently, a flexible high-speed rotor supported by an AMB, operating above the first and second critical speeds, has been investigated. In this context, the vibration characteristics of the flexible high-speed rotor when interacting with the backup bearing system become important. In this article, the mathematical models for the contact and friction forces which exist during contact between the rotor and the backup bearing are considered, the rotation of the inner ring of the backup bearing is modelled, and the vibration characteristics of the rotor system are studied. By comparing the results of numerical simulations and experiments, the validity of the mathematical model of the backup bearing is confirmed. Moreover, the vibration characteristics of the rotor systems when various types of failures occur in the AMB are clarified both theoretically and experimentally.

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“…As the displacement is eonstant in the steady state equation of a rotating elements, putting FRo, P=:Bo in the Eq. 2, E -R. O.aa' ,22;iilt}'I " a'2 COS IIoke (Roti ll ......,".. (3) Two conditions exist in Eq. (3), those are fio=O,O+k,-to2)Ro=aw2+fi 1 fiO=r7T,fi+k,-a)2)Ro=-aa12+tif'-'--'H---For stability cheeking some disturbances are considered which change r=Rb+g ancUi =:fib+ij and order is censidered as Putting the vatues ofEq.4 and taking the terms from the both sides ofthe order O(a), the equations are as follows:…”

Section: 4 Effects On Friction To Occur Contact Motionmentioning

confidence: 99%